Combined analysis of EDMs and Lepton Flavor Violating rare decays

1. Combined analysis of EDMs and Lepton Flavor Violating rare decays YASAMAN FARZAN IPM, Tehran

3. Manifestation of heavy states Directproductionat accelerators Indirect effects in low energy phenomena Historic example: Beta decay is the indirect manifestation of W-boson. Beta decay was discovered in the late 19thcentury. Direct production of W boson took place only in 1980’s.

4. Models predicting heavy states • SUSY models • Extra dimensions • various Higgs models • … All these models predict heavy particles to be directly produced at LHC….

5. Indirect Effects in Low Energy Experiments Lepton Flavor Violating (LFV) processes: Magnetic Dipole Moment: Electric Dipole Moments (EDMs) ….. In this talk, we shall focus on LFV and EDMs and their Combined analysis.

6. In parallel to the progress in the high energy frontier (via LHC and hopefully via ILC), in upcoming years we expect breakthrough in the low energy experiments, too. Unlike the historic example of beta decay and W-boson discovery, in the present era, progress in both directions (low energy and high energy) takes place simultaneously. Complementary information can be derived by combining the results.

7. Limitations of LHC Suppose SUSY (or some other BSM) is discovered atLHC. Littleornonecan be learned about the the CP-violating phases in the lepton sector at LHC (see however, Godbole Czech J Physc 55; Heinemeyer and Velasco, hep-ph/0506267; Kittel, hep-ph/0504183 ). ILC Measuring CP-violation Low energy experiments Searches for EDMs can teach us about the CP-violatingphases

8. EDM and MDM under CP CP: CP: MDMconservesCP but EDM violates CP.

9. Present bound and prospects for improvement Present bound: [PDG] Near future: DeMille et al Foreseeable future: Lamoreaux, nucl-ex/0109014 (employing solid state techniques; Shapiro’s old idea) The phase of CKM: The phases of PMNS: de Gouvea, Gopalakrishna, PRD72 Positive signal New Physics

10. Importance of CP-violation Among all the parameters of a theory,CP-violating phases hold a place of honor because CP-violation is one of the three famous Sakharov’s conditions for dynamically creating the Baryon asymmetry of the universe. The CP-violating phase that we would measure in the labs might be in the heart of the fundamental question why our body as well as the whole universe around us (so far explored) is made of matter rather than anti-matter.

11. Which phase is responsible for baryogenesis? In the framework of some models, the CP-violating phase that is responsible for baryogenesis can also show up in the EDM; e.g., (the phase of bilinear Higgs term in the superpotential ) which leads to both Electroweak baryogenesisandEDM. Not all the CP-violating phases contributing to EDM can lead to successful baryogenesis. To disentangle the different contributions and to pinpoint the effect of the mu-term, one has to work out all the phases.

12. Neutrino oscillation The only evidence so far for physics BSM comes from observation of neutrino oscillation. Contribution of neutrino masses to LFV processes: PetcovSov J. NP25; Bilenky et al, PLB67; Altarelli et al, NPB125 PDG Positive signal in future Physics BSM Benerjee, hep-ex/0702017

13. LFV and CP-violation in MSSM at one-loop Strong bounds on

14. Effect of on NO LFV No one loop contribution Two-loop effect exists but the effect is suppressed. LFV: To have sizeable effect, and have to be both relatively large. Ayazi and Farzan, JHEP0706

15. Present bounds on and prospects for improvements Banerjee, hep-ex/0702017 Super B-factory (physics/0512235)

16. Other effects of complex Complex does not contribute to Baryogenesis. Phase of can manifest itself in decay and production of staus and can in principle be measured at ILC. Gajdosik, Godbole and Kraml, JHEP 0409; Bartl et al., PRD66 It will be exciting to derive complementary information on this phase from low energy experiments.

17. Condition for sizeable effect If or the contribution of to is suppressed even if is close to its present bound and is large.

18. Contribution of the phase of

19. Left-right ratio Suppose in future is detected. Q: Is there a way to extract ? A: Yes, by studying the angular distribution of the final particles: is the angle between the spin of tau and the momentum of the emitted

20. Measurement and interpretation of By studying the angular distributions of the final particles at an collider such as B-factory, it will be possible to extract the value of . Kitano and Okada, PRD63 (2001) 113003 Interpretation of : or

21. Correlation of and Present bound The dots depicted by the same color and symbol in the two panels correspond to the same scatter point Near Future reach All other phases=0

22. Correlation of and Present bound Near Future reach In the case of the purple dots for which regardless of electron EDM is very small and below the reach of the current experiments.

23. Correlation of and Present bound Near Future reach For (to be tested by super B-factory) regardless of the value of , is smaller than the present bound.

24. Correlation of and Present bound Near Future reach If and , there is a good chance of detecting in near future (blue dots) provided that is sizable .

25. Conclusions By combining the information from LFV and EDM experiments, valuable information can be derived on CP-violation which can be considered complementary to or a cross check of the CP study at ILC.